A 5 kg block kept on a frictionless horizontal plane is being acted upon by a 10 N force as shown. Find the acceleration of the block.

1 m/

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2 m/

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5 m/

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Data insufficient

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Solution

The correct option is B
2 m/

Draw Free Body Diagram

The block is restricted from moving in vertical direction as the ground prevents it from doing so and obviously it can't just rise-up simply just because of normal, by the ground. So taking horizontal as x-axis vertical as y-axis

$\sum F_{y}$ = 0

$\Rightarrow$ N - 5g = 0

N = 5g

$F_{x}$ = 10N

There is a net external force in x-direction so there has to be acceleration.

2nd law

F = ma

$\Rightarrow$ 10 = 5 $\times$ a

a = 2 m/ $s^{2}$ in rightward direction

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